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Worksheet: Integers on a Number Line

In this worksheet, we will practice graphing an integer on a number line, writing its opposite, and deriving the relationship between that integer and its opposite.

Q1:

What number is the opposite of negative nine?

Q2:

Which three integers lie between − 2 and its opposite on a number line?

  • A − 2 , 0 , 2
  • B − 3 , 0 , 3
  • C − 3 , − 2 , − 1
  • D − 1 , 0 , 1
  • E 1 , 2 , 3

Q3:

On a number line, which integer is halfway between any number and its opposite?

  • Athe number’s opposite
  • Bthe number
  • Czero

Q4:

Two numbers, 𝑎 and 𝑏 , are opposite one another. If 𝑎 is 3 units to the right of 8 on a number line, determine the value of 𝑏 .

Q5:

The freezing point of water is 0 ∘ C , while its boiling point is 1 0 0 ∘ C . If we represent these temperatures by integers on a number line, will they be opposites of each other?

  • Ano
  • Byes

Q6:

Select the number line which contains opposite quantities that add up to zero.

  • A
  • B
  • C
  • D
  • E

Q7:

What sum does this diagram represent?

  • A 5 + 0 = 5
  • B 5 + 5 = 1 0
  • C − 5 + 0 = − 5
  • D 5 + ( − 5 ) = 0
  • E − 5 + ( − 5 ) = − 1 0

Q8:

William knows that − 5 is 5 units to the left of zero on a number line, and that the opposite of − 5 is 5 because it is the same distance from zero in the opposite direction.

What is the relationship between − 5 and the opposite of 5?

  • AThey are the same.
  • BThey are opposites.

Q9:

A class were using number lines to find the opposite of a number by looking at the distance from zero. After doing some examples, a student said “the opposite of the opposite of a number will always be negative”. Is this true or false?

  • Afalse
  • Btrue

Q10:

Answer the questions about the points on the number line.

What distance away from zero is the selected number?

If you start at the selected number and move toward zero, do the numbers get smaller or larger?

  • A larger
  • B smaller

If you start at the number that is opposite the selected number and move toward zero, do the numbers get smaller or larger?

  • A larger
  • B smaller

Q11:

The integer − 7 is the opposite of 7 because they are the same distance from 0 on a number line, but in opposite directions. Jennifer wrote that the opposite of − 7 is − ( − 7 ) , what number is this?

Q12:

The city of Brawley in California has an elevation of 111.9 feet below sea level. Write a number that represents the elevation of the city.

If we plot the opposite of this number on a number line, between which two integers will it lie?

  • A111 and 112
  • B − 1 1 1 and 0
  • C0 and 111
  • D − 1 1 2 and − 1 1 1
  • E 110 and 111

Q13:

Which of the following is true?

  • A − ( − 𝐶 ) = − 𝐴
  • B − 𝐶 = 𝐴
  • C − 𝐶 = 𝐵
  • D − 𝐶 = 0
  • E − ( − 𝐶 ) = − 𝐵

Q14:

What is the opposite of zero?

  • Aany number
  • Bit doesn’t have one
  • Czero

Q15:

What sum does this diagram represent?

  • A 4 + 4 = 8
  • B − 4 + ( − 4 ) = − 8
  • C − 4 + 0 = − 4
  • D − 4 + 4 = 0
  • E 4 + 0 = 4

Q16:

What sum does this diagram represent?

  • A 2 + 2 = 4
  • B − 2 + ( − 2 ) = − 4
  • C − 2 + 0 = − 2
  • D − 2 + 2 = 0
  • E 0 + 2 = 2

Q17:

Use the number line to choose the smaller of the two numbers.

Remember that numbers get smaller as you move to the left.

  • Athe opposite of the opposite of − 1 5
  • Bthe opposite of − 1 7

Q18:

What sum does this diagram represent?

  • A − 3 + ( − 3 ) = − 6
  • B 3 + 3 = 6
  • C 3 + 0 = 3
  • D 3 + ( − 3 ) = 0
  • E 0 + ( − 3 ) = − 3

Q19:

In the following number line, find the value of the opposite of point A so that their values add up to 0.

Q20:

Which of the following will you get if you add A and B?

  • A a negative number
  • B a positive number
  • C zero

Q21:

Determine whether the following statement is true or false: The opposite of the opposite of a number is the original number.

  • Atrue
  • Bfalse

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